Divine Angel said:

Assuming that the devious genie made this offer to start on Feb 1st in a non-leap year, I’d go for the $100,000/day

Even if it was to be a 31 day month, $31 million is quite enough for me, and genies are notoriously unreliable, so I’d go for the $100,000/day because it pays more right up to day 28.